Special Quant Quiz (Time & Work) SSC CGL Tier-II 2016

Q1. A contractor undertakes to build a wall in 40 days. He employs 50 people for the same. However, after 20 days he finds that only 40% of the work is completed. How many more man need to be employed to complete the work in time?
(a) 25
(b) 30
(c) 35
(d) 20
S1. Ans.(a)
Sol.
According to the given information, 50 men completed 0.4 work in 20 days and (M
+ 50) men should complete the remaining 1 – 0.4 = 0.6 work in remaining time
i.e. 40 – 20 = 20
Applying the
work rule,
m1×d1×w2=m2×d2×w1

50 ×
20 × 0.6 = (M + 50) × 20 × 0.4 ⇒ M = 25
Q2. Anita and Bindu can finish a work in 10 days while Bindu and Chitra can do it in 18 days. Anita started the work, worked for 5 days, then Bindu worked for 10 days and the remaining work was finished by Chitra in 15 days. In how many days could Chitra alone have finished the whole work?
(a) 30 days
(b) 55 days
(c) 45 days
(d) 40 days

Q3. A man is twice as fast as a woman. Together the man and the woman do the piece of work in 60 days. In how many days each will do the work if engaged alone?
(a) man-140 days, woman-280 days
(b) man-120 days, woman-240 days
(c) man-100 days, woman-200 days
(d) None of these
S3. Ans.(d)

Sol. Let one
women is one unit then man will be 2 units and 3 units finished the work in 60
days hence one units will finish the work in 180 days therefore woman will take
180 days and man will take 90 days being twice efficient as compared to woman.

Q4. 12 men can complete a work in 18 days; Six days after they had started working, 6 men joined them. How many days will all of them take to complete the remaining work?
(a) 10 days
(b) 8 days
(c) 15 days
(d) 9 days
Q5. A tire has three punctures. The first puncture alone would have made the tire flat in 20 minutes, the second alone would have done it in 24 minutes, and the third alone would have done it in 30 minutes. If air leaks out at a constant rate, how long does it take for all the three punctures together to make it flat?
(a) 10 minutes
(b) 12 minutes
(c) 8 minutes
(d) 11 minutes
Q6. A man, a woman or a boy can do a job in 20 days, 40 days and 80 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?
(a) 15 boys
(b) 18 boys
(c) 16 boys
(d) None of these
Q7. A can do 150% more work as B can do in the same time. B alone can do a piece of work in 35 hours. A, with help of B, can finish the same work in how many hours?
(a) 12
(b) 8
(c) 40/3 
(d) 10
Q8. A alone would take 9 days more to complete the job than both A and B would work together. If B worked alone, he took 4 days more to complete the job than A and B worked together. What time would they take, if both A and B worked together?
(a) 7 days
(b) 5 days
(c) 4 days
(d) 6 days

Q9. A contractor undertook to do a piece of work in 9 days. He employed certain number of laborers but 6 of them were absent from the very first day and the rest could finish the work in 18 days. Find the number of men originally employed.
(a) 15
(b) 6
(c) 12
(d) 9
S9. Ans.(c)
Sol. Let the
number of men originally employed be x then we get, 9x = 18 (x – 6) or x = 12
Q10. After working for 8 days, Ram finds that only 1/3 of the work has been done. He employs Shyam along with him who is 60% as efficient as Ram. How many more days will both take to complete the job together?
(a) 10 days
(b) 12 days
(c) 15 days
(d) 8 days

Q11. Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have completed in 3 days. Find the time for A to complete the job alone.
(a) 25/4 days
(b) 53/4 days
(c) 5 days
(d) None of these
Q12. One hundred Men in 10 days do one third of a piece of work. The work is then required to be completed in another 13 days. On the next day (the eleventh day) 60 more men are employed. How many men must be discharged at the end of the 18th day so that the rest of the men, working for the remaining time, will just complete the work in time?
(a) 10
(b) 15
(c) 11
(d) 16
Q13. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, then find the time taken by 15 men 20 boys in doing the same type of work?
(a) 4 days
(b) 5 days
(c) 6 days
(d) 7 days
Q14. If 12 men or 15 women or 18 boys can do a piece of work in 15 days of 8 hours each, find how many men assisted by 5 women and 6 boys will finish the same work in 16 days of 9 hours each.
(a) 6 men
(b) 2 men
(c) 8 men
(d) 4 men
Q15. A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work was finished one day earlier. How many days would it have been delayed if 5 more men were not employed?
(a) 1 day
(b) 2 days
(c) 3 days
(d) 4 days



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